1043 equilateral minimal stick candidate (12 vertices)

3.659530 -2.437210 0.620318
-1.236654 3.798802 1.687805
-1.046869 -3.976864 -0.183825
-4.521516 3.152229 0.866347
1.113091 -0.340423 -3.611663
-3.285736 -2.148557 2.821141
1.652436 3.275656 -0.371408
0.687780 -4.385507 1.720486
2.330988 3.443674 1.658801
-2.299122 -2.211139 -1.594686
4.905324 0.743313 0.240298
-1.959252 1.086025 -3.853618